matth

Find

2 (5 pts) A graph of y = f (x) follows. Which graph (A, B, C, or D) represents the graph of

y = f (x + 1) – 1 ? No formula for f is given. EXPLAIN YOUR CHOICE. (Grid supplied for scratch work; You are NOT required to submit your own graph)

2. _______ Explanation:

y = f (x)

2

4

-4

-2

-4

2

4

-2

2

4

-4

-2

-4

2

4

-2

GRAPH A (below) GRAPH B (below)

2

4

-4

-2

-4

2

4

-2

2

4

-4

-2

-4

2

4

-2

GRAPH C (below) GRAPH D (below)

2

4

-4

-2

-4

2

4

-2

2

4

-4

-2

-4

2

4

-2

3. (6 pts) Let . Determine if this function is even, odd or neither. Explain/Show work.

4. (2 pts each) For each graph, is the graph symmetric with respect to the x-axis? y-axis? origin? (No explanation required. Just answer Yes or No to each question.)

(a) Symmetric with respect to the x-axis? ____ y-axis? ____ origin? ____

(b) Symmetric with respect to the x-axis? ____ y-axis? ____ origin? ____

5. ( no explanation required) The graph of the function y = f (x) is pictured below.

a. State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing? Use interval notation. (4 pts)

b. State the domain and range of this function. Express your answers in interval notation. (4 pts)

Domain: Range:

6. Consider the ordered pairs (3,-5) and (-1,7) (4 pts each)

a. Find the equation of the line passing through the two points. Express your answer in slope-intercept form. Show work.

b. Find the equation of the line perpendicular to the line from part a that passes through the ordered pair (1,7). Show work.

7. (3 pts. each) Loudon County Phone Company charges a $25 monthly fee for the first 100 minutes of usage plus a fee of $0.07 per minute for every minute over 100 minutes. (So, there is no per minute charge for 0 – 100 minutes of usage per month).

(a) Write an equation that can be used to determine a subscriber’s monthly phone bill, B(x), given the amount of minutes called, x. (Assume that the subscriber will make over 100 minutes of calls)

(b) Determine the subscriber’s bill if the total minutes used in a month was 650. Show work.

(c) Determine the number of minutes used if the subscriber’s monthly bill was $84. Show work.

8. Find the x and y intercepts of the function Show work to support your answer. (6pts)

9. A research study collected data on the average number of chirps per second a striped ground cricket chirped at different temperatures. Use this data to answer the following questions.

Temp. oF	Chirps Per Second
88.6	20
71.6	16
93.3	19.8
84.3	18.4
80.6	17.1
75.2	15.5
69.7	14.7
82	17.1
69.4	15.4
83.3	16.2

(Round all values to two decimal places.) (3 pts each)

a. Find the equation of the least squares regression line (line of best fit). Note: Use the temperature as the independent variable and the number of chirps as the dependent variable. No work required..

b. State the value of the correlation coefficient r and comment on the goodness of fit.

c. State the slope of the regression line. Interpret the slope of the best fit line in the context of the study.

c. Use the regression line to predict the average number of chirps per second made by a striped ground cricket when the temperature is 60 oF. (Show work)

10. Find all real solutions for (Show work)

2

3

3 for 0

2

(1)2 for 02

5 for 2

xx

xx

xx

+£

-+<£

-->

(0)

f

(2)

f